| Title:
|
Complementarity - the way towards guaranteed error estimates (English) |
| Author:
|
Vejchodský, Tomáš |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 6-11, 2010 |
| Issue:
|
2010 |
| Year:
|
|
| Pages:
|
205-220 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamental properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples. (English) |
| Keyword:
|
complementarity |
| Keyword:
|
guaranteed upper error bounds |
| Keyword:
|
method of hypercircle |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
error majorants |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| . |
| Date available:
|
2015-07-08T06:55:19Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702760 |
| . |
